Question : The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will be the length of the cuboid?
Option 1: 36 cm
Option 2: 56 cm
Option 3: 48 cm
Option 4: 42 cm
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Correct Answer: 36 cm
Solution : The length of each side of a cube is = 24 cm The volume of a cube = (Side)3 = 243 = 13824 The breadth of the cuboid, b = 32 cm The height of the cuboid, h = 12 cm Let the length be l. Volume of a cuboid = l × b × h According to the question, 13824 = l × 32 × 12 ⇒ l = $\frac{13824}{32×12}$ $\therefore$ l = 36 cm Hence, the correct answer is 36 cm.
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Question : The length, breadth, and height of a cuboid are 40 cm, 20 cm, and 10 cm, respectively. What is the volume of this cuboid?
Option 1: 16000 cm3
Option 2: 8000 cm3
Option 3: 2000 cm3
Option 4: 4000 cm3
Question : The sum of the length and breadth of a cuboid is 40 cm. If the height of the cuboid is $\frac{1}{5}$ of the sum of its length and breadth, then what is the lateral surface area of the cuboid?
Option 1: $580 {~cm}^2$
Option 2: $320 {~cm}^2$
Option 3: $640 {~cm}^2$
Option 4: $720 {~cm}^2$
Question : The length of a cuboid is six times its breadth and the height of a cuboid is four times its breadth. If the breadth of the cuboid is 3 cm, then what is the total surface area of the cuboid?
Option 1: 484 cm2
Option 2: 612 cm2
Option 3: 576 cm2
Option 4: 676 cm2
Question : The length of a cuboid is half of its breadth and the height of the cuboid is thrice of its breadth. If the breadth of the cuboid is 12 cm, then what is the total surface area of the cuboid?
Option 1: 1680 cm2
Option 2: 1320 cm2
Option 3: 1440 cm2
Option 4: 1560 cm2
Question : The sum of the length and breadth of a cuboid is 16 cm. If the height of the cuboid is one-fourth of the sum of its length and breadth, then what is the lateral surface area of the cuboid?
Option 1: 128 cm2
Option 2: 196 cm2
Option 3: 96 cm2
Option 4: 156 cm2
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